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Springer eBooks

On the Characteristics of Rabi Oscillations in a Coherently Prepared Two Level Atom in the Binomial State of the Field

Ravinder Rupchand Puri, Amitabh Joshi

Published Jan 1, 1990• 0 citations
Publisher
DOI
10.1007/978-1-4613-0847-8_172

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The dynamic and statistical properties of a system of an effective two-level atom making two-photon transitions in the binomial state of the field in a lossless cavity are discussed. The binomial state enables the study of the development of the phenomenon of collapses and revivals of the Rabi oscillations as the field state is changed from a pure number state to a coherent state. This is because the binomial state, which is a pure number state in one limit, develops into a coherent state as some parameters are changed appropriately. The effect of Stark shifts arising due to the transitions to virtual levels are also investigated.

Journal of Modern Optics•Feb 1, 1989•23 citations
The effects of the coherence between the states of a two-level atom on the phenomenon of collapses and revivals in an undamped binomial state of the electromagnetic field are investigated. It is found that the Rabi oscillations exhibit qualitatively different behaviour for different phases of coherence between the levels. This behaviour in the binomial state of the field is in contrast with that in a coherent state field, in which case the Rabi oscillations are qualitatively the same for all values of the coherence between the two atomic levels.
With the consideration of Milburn model of intrinsic decoherece,the atomic population inversion in the system of the binomial optical field interacting with a two-level atom is inverstigated.The influences of instrinsic decoherece,the parameters η of the binomial optical field and photon number on the atomic population inversion are discussed.The result show that the phenomena of collapse and revival will also appear with the intrinsic decoherece.The amplitude of the Rabi oscillation will be reduced to zero with the evolution of being time.The decay process is at faster rate with the values of the parameters of the instrinsic decoherece smaller.When the binomial optical state changes from a coherent state to a middle state then to a Fock state,the phenomena of collapse and revival can also occur.The Rabi oscillation frequency of the atomic population increases apparently.The phenomena of collapse and revival disappear as photon number increases.
The dynamic and statistical properties of a system of an effective two-level atom making two-photon transitions in the binomial state of the field in a lossless cavity are discussed. The binomial state enables the study of the development of the phenomenon of collapses and revivals of the Rabi oscillations as the field state is changed from a pure number state to a coherent state. This is because the binomial state, which is a pure number state in one limit, develops into a coherent state as some parameters are changed appropriately. The effect of Stark shifts arising due to the transitions to virtual levels are also investigated.